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Fluid in
Motion
Ideal FluidIdeal fluid is incompressible
Ideal FluidIdeal fluid has no viscosity
Ideal FluidIdeal fluid has a laminar (nonturbulent) flow
Continuity of Flow
1 2
1 2
1 1 2 2
1 1 2 2
1 1 2 2
m m
V V
A x A x
Av t A v t
Av A v
As the air passes across the tube of perfume, the air pressure above it becomes lower, and the fluid (perfume) is pushed up the tube
Flying
Atmospheric pressure
Carburetor
Bernoulli’s Principle
Bernoulli’s Equation
2222
11
212
1nc mgymvmgymvW
To “lift water up” work is done
To “lift water up” work is done
Net work is done by the net force:
Net work is done by the net force:
Conservation of Total Energy (there are NC forces present)
A Venturi meter is a device that is used for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at speed v2 through a horizontal section of pipe whose cross-sectional area is A2 = 0.0700 m2. The gas has a density of 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0500 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 120 Pa. Find (a) the speed v2 of the gas in the larger, original pipe and (b) the volume flow rate Q of the gas.